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Finding the Third Proportional to 132,871.64 and 287,886.66

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Solution

The third proportional to 132,871.64 and 287,886.66 is: 623,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,871.64 : 287,886.66 = 287,886.66 : x
  2. Step 2: Convert to fraction form
    132,871.64/287,886.66 = 287,886.66/x
  3. Step 3: Cross multiply
    132,871.64x = 287,886.66 × 287,886.66
  4. Step 4: Simplify right side
    132,871.64x = 82,878,726,846.81
  5. Step 5: Solve for x
    x = 82,878,726,846.81/132,871.64
  6. Step 6: Final answer
    x = 623,750.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.